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Solve a 2nd order Ordinary Differential Equation

  • #1

Homework Statement


Y''-((Y')^2)+(C1*exp(Y))=C2

C1 and C2 are constants.
exp = e

Homework Equations


No clue how to start this

The Attempt at a Solution


Y'=A=dY/dt
Y=At+C3 (not sure)

A'-(A^2)+C1exp(At+C3)-C2=0
A'-(A^2)+C1exp(C3)exp(At)=0
let C=C1*exp(C3)
A'-(A^2)+Cexp(At)=0
 

Answers and Replies

  • #3
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
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Homework Statement


Y''-((Y')^2)+(C1*exp(Y))=C2

C1 and C2 are constants.
exp = e

Homework Equations


No clue how to start this

The Attempt at a Solution


Y'=A=dY/dt
Y=At+C3 (not sure)

A'-(A^2)+C1exp(At+C3)-C2=0
A'-(A^2)+C1exp(C3)exp(At)=0
let C=C1*exp(C3)
A'-(A^2)+Cexp(At)=0
Please post your HW threads in the proper HW forum by subject. If you're not sure where they should go, you can always ask a Mentor for help.
 

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